Multivariate Polynomials with Rational Coefficients

---

Documentation for package ‘qspray’ version 3.0.0

• DESCRIPTION file.
• Package NEWS.

Help Pages

+-method	Unary operators for qspray objects
--method	Unary operators for qspray objects
as.function.qspray	Multivariate polynomial as function
as.qspray	Coercion to a 'qspray' object
as.qspray-method	Coercion to a 'qspray' object
changeVariables	Change of variables in a 'qspray' polynomial
changeVariables-method	Change of variables in a 'qspray' polynomial
characteristicPolynomial	Characteristic polynomial
collinearQsprays	Whether two 'qspray' polynomials are collinear
compactSymmetricQspray	Compact symmetric qspray
compactSymmetricQspray-method	Compact symmetric qspray
composeQspray	Compose 'qspray' polynomials
derivQspray	Partial derivative
dQspray	Partial differentiation
ESFpoly	Elementary symmetric polynomial
evalQspray	Evaluate a 'qspray' object
getCoefficient	Get a coefficient in a 'qspray' polynomial
getCoefficient-method	Get a coefficient in a 'qspray' polynomial
getConstantTerm	Get the constant term of a 'qspray' polynomial
getConstantTerm-method	Get the constant term of a 'qspray' polynomial
groebner	Gröbner basis
HallInnerProduct	Hall inner product
implicitization	Implicitization with Gröbner bases
integratePolynomialOnSimplex	Integral of a multivariate polynomial over a simplex
isConstant	Whether a 'qspray' polynomial is constant
isConstant-method	Whether a 'qspray' polynomial is constant
isPolynomialOf	Whether a 'qspray' is a polynomial of some given 'qsprays'
isQone	Whether a 'qspray' polynomial is the unit polynomial
isQone-method	Whether a 'qspray' polynomial is the unit polynomial
isQzero	Whether a 'qspray' polynomial is null
isQzero-method	Whether a 'qspray' polynomial is null
isSymmetricQspray	Check symmetry of a polynomial
isUnivariate	Whether a 'qspray' is univariate
isUnivariate-method	Whether a 'qspray' is univariate
MSFpoly	Monomial symmetric function
MSPcombination	Symmetric polynomial in terms of the monomial symmetric polynomials
numberOfTerms	Number of terms in a 'qspray' polynomial
numberOfTerms-method	Number of terms in a 'qspray' polynomial
numberOfVariables	Number of variables in a 'qspray' polynomial
numberOfVariables-method	Number of variables in a 'qspray' polynomial
orderedQspray	Ordered 'qspray'
permuteVariables	Permute variables
permuteVariables-method	Permute variables
prettyQspray	Pretty polynomial
PSFpoly	Power sum polynomial
PSPexpression	Symmetric polynomial in terms of the power sum polynomials.
qdivision	Division of a qspray polynomial
qlone	Polynomial variable
qone	The unit 'qspray' polynomial
qspray-unary	Unary operators for qspray objects
qsprayDivision	Division of two polynomials
qsprayMaker	Make a 'qspray' object
qspray_from_list	(internal) Make a 'qspray' object from a list
qzero	The null 'qspray' polynomial
rQspray	Random 'qspray'
showMonomialOld	Print a monomial
showMonomialX1X2X3	Print a monomial
showMonomialXYZ	Print a monomial
showQspray	Print a 'qspray' object
showQsprayOption<-	Set a show option to a 'qspray' object
showQsprayX1X2X3	Print a 'qspray' object
showQsprayXYZ	Print a polynomial
substituteQspray	Substitutions in a 'qspray' polynomial
swapVariables	Swap variables
swapVariables-method	Swap variables